Science Questions from Amazon.com

Note: The math notation displayed on this page is duplicated. The first display is HTML and CSS and the second display is LaTeX. If you have a preference regarding the HTML and CSS vs the LaTeX, please leave a comment below. Thanks.

Q: What is the result of finding the limit of secant lines?

A: The result of finding the limit of secant lines is a tangent line.

Q: What is a qubit?

A: Qubit is short for Quantum Bit.

Q: What is the approximate wavelength of a gamma ray?

A: The wavelength of a gamma ray is less than 10 picometers, or 10⁻¹² meters.

Q: In probability theory, what is the meaning of ‘independence’?

A: Two events are independent if the probability of one event does not affect the outcome of the other event.

Q: What is the SI unit for angular velocity?

A: The SI unit for angular velocity is ‘radians per second’. Angular velocity is sometimes referred to as ‘rotational speed’.

Q: What is the derivative of f(x) = sin x?

A: The derivative of sin x is cos x.

Q: What is the limit of 1/x as x approaches zero?

A: The limit of 1/x as x approaches zero is infinite.

Q: What is Planck’s constant?

A: Planck’s constant is often represented by the variable h. h = 6.62607004 × 10^{-34} m^{2} kg / s Js

Q: What is the chain rule in calculus and why is it important?

A: The chain rule, in calculus, is used to determine the derivative of a composite function. For example, the derivative of f(g(x)) is f'(g(x)) * g'(x).

Q: What is Newton’s second law of motion?

A: Newton’s second law of motion is represented by the equation F = ma (force = mass x acceleration).

Q: What is the more common term used for “Atomic electron transition”?

A: Atomic electron transition is often referred to as a ‘Quantum Leap’.

Q: What is the Rydberg constant?

A: 10, 973, 731.6 m^{−}^{1 }

Q: What is the Rydberg formula for hydrogen?

A: 1/λ = R ( 1/(n_{1})^{2} – 1/(n_{2})^{2} ) . R is the Rydberg constant mentioned in the previous question.

Q: What does E = mc^{2} mean?

A: E = mc^{2} is the equivalence relation. E is energy, m is mass, c is the speed of light.

Q: What is the speed of light in a vacuum?

A: The speed of light in a vacuum is 299,792,458 meters per second (m/s).

Q: What element of the periodic table, and what isotope of this element, is used to define the SI unit ‘second’?

A: (Cs) Caesium-133.

Q: What is the term used to describe a system of ordinary differential equations that do not depend on the independent variable?

A: Autonomous.

Q: What is the third axiom of probability?

A: (See the mathematics below)

HTML and CSS math:

P |
( |
∞ ⋃ i=1 |
E_{i} |
) | = |
∞ ∑ i=1 |
P |
(E_{i}) |

LaTeX math:

Q: What are the seven SI base units?

A: ampere, candela, kelvin, kilogram, meter (metre), mole, second.

Q: What is a farad, and why is it important?

A:

Q: What is the formula for calculating the terminal velocity of a falling object on planet Earth?

A:

Q: What is the photoelectric effect?

A:

Q: What is an atomic orbital?

A:

Q: What is the escape velocity of the Earth?

A: 11.2 km/s

Q: What is the difference between a covalent and an ionic bond?

A: Covalent bonds share electrons between two or more atoms. Ionic bonds do not have common electrons.

Q: What is a joule?

A:

Q: What would be the immediate result if the Earth’s gravitational field suddenly disappeared?

A:

Q: What is the gravitational constant?

A: 6.67408 × 10^{-11} m^{3} kg^{-1} s^{-2}

Note: Other examples using force (Newtons) to describe the gravitational constant are similar.

Q: What is a BTU and what SI unit does it use?

A:

Q: What is the first law of thermodynamics?

A:

Q: What are the three naturally occurring isotopes of Hydrogen?

A:

Q: What is Ohm’s law?

A: Ohm’s law states that current (I) is directly proportional to voltage (V), with resistance (R) being the constant of proportionality.

HTML and CSS math:

I = |
V — R |

LaTeX math:

Q: What is the difference between AC and DC?

A:

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